getdoc0c8b. 907KB Jun 04 2011 12:04:05 AM
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The asymptotic convergence of paths given by the asip (log) then allows these results to pass over from the self-similar processes to the coordinate-changed random walk, by Lemma 6.1
Observe that the differential inequality in the statement of Lemma 2 has the same form as the inequalities considered in Lemma 4 where ψ replaces ρ... However, the obtained
We present a stochastic process with sawtooth paths whose distribution is given by a simple rule and whose stationary distribution is Gaussian.. The process arose in a natural way
Another main difference from the [NMW] model is that the limiting distribution of the shortest path length may be concentrated on just one or two points, when the probability
In this section, we use Corollary 2 to determine whether the Λ-coalescent comes down from infinity for particular families of measures Λ. We begin with the
The following lemma gives a lower bound on the range of a random homomorphism of C n,k with exactly ℓ non-constant layers.
Furthermore finite volume forest-fire processes have the property that a vacant site must remain vacant, if there is not the growth of a tree.. Thus the result follows since the set C
Furthermore, Kesten and Zhang (1997) showed a central limit theorem for the passage time in the undirected critical model.. Here, we partially verify (1.14) for the directed
